Disrespectful in no silent way (8)

(Source: London Evening Standard)

"no silent way" ⇒ anagram of "no silent"

Meaning disrespectful

"insolent"

A good but not high level of illumination (4)

(Source: London Evening Standard)

"good" ⇒ often abbreviated to just "g"

"not high" ⇒ "low"

A level of illumination

"glow"

Stop working, quickly, for a meal (9)

(Source: London Evening Standard)

A period when one "Stops working" ⇒ aka a "break"

"quickly" ⇒ also "fast"

"break" + "fast"

Name for a meal

"breakfast"

Some herbal mixture or ointment (4)

(Source: London Evening Standard)

"Some herbal mixture" ⇒ subset of "herbal mixture"

Meaning ointment

"balm"

Branch of a Worcester pearmain (3)

(Source: London Evening Standard)

"of a Worcester pearmain" ⇒ subset of "a Worcester pearmain"

Meaning a branch

"arm"

Run as Communist (4)

(Source: London Evening Standard)

"Communist" ⇒ for example a follower of Leon Trotsky ⇒ known as a "Trotskyist", "Trotskyite" or simply "Trot"

Word meaning to run

"trot"

Cries, making the commanding officer so upset! (4)

(Source: London Evening Standard)

"commanding officer" ⇒ abbreviated to "C.O." ⇒ "co"

"so upset" ⇒ anagram of "so" ⇒ "os"

"co" + "os"

Meaning cries

"coos"

They're bitter, also upset about the late finish (5)

(Source: London Evening Standard)

"also upset" ⇒ anagram of "also" ⇒ e.g. "alos"

"late finish" ⇒ last letter or letters of "late" ⇒ "e"

"alos" about "e" ⇒ the letter "e" inserted into the letters "alos"

An example of something bitter

"aloes"

Easter problem? (6)

(Source: London Evening Standard)

Word meaning "problem"

Formed from "Easter" ⇒ likely an anagram of "easter"

"teaser"

Favourite trumpet piece (3)

(Source: London Evening Standard)

"trumpet piece" ⇒ part of the word "trumpet"

Meaning "favourite"

"pet"

Answered that reeds spread around a source of water (9)

(Source: London Evening Standard)

"reeds spread" ⇒ anagram of "reeds" ⇒ e.g. "resed"

"source of water", e.g. a "pond"

The letters of "resed" around the word "pond"

Means "answered"

"responded"

Taking a rum concoction into work results in chaos (7)

(Source: London Evening Standard)

"rum concoction" ⇒ anagram of "rum" ⇒ e.g. "urm"

"work" ⇒ also "toil"

"urm" contained inside "toil"

Meaning chaos

"turmoil"

It's polite to include nothing in rudely brief style (7)

(Source: London Evening Standard)

"nothing" ⇒ zero ⇒ the letter "o"

"rudely" ⇒ also "curt"

"brief style" ⇒ some letters of the word "style" ⇒ e.g. "ly"

"o" inside "curt" plus "ly"

Meaning polite

"courtly"

Like some schooldays of the past (3)

(Source: London Evening Standard)

"some schooldays" ⇒ word is contained within "schooldays"

Describes something of the past

"old"

Look exhausted as you fall out of the ring! (5)

(Source: London Evening Standard)

"fall out of" ⇒ "drop"

"the ring" ⇒ a circle ⇒ the letter "o"

Meaning is to look exhausted

"droop"

It stimulates high speed, I see (5)

(Source: London Evening Standard)

"high speed" ⇒ e.g. "ton", British slang for 100 miles per hour

"I see" ⇒ the letters "ic"

"ton" + "ic"

Meaning something that stimulates

"tonic"

Severely criticise the chap round the corner (4)

(Source: London Evening Standard)

"the chap" ⇒ a man's name ⇒ e.g. "sam"

"corner" ⇒ "l"

"sam" round the "l" ⇒ letters of "sam" with an "l" inside

Meaning is to severely criticise

"slam"

Did terrible toil, on the quiet, get him his wings? (5)

(Source: London Evening Standard)

"terrible toil" ⇒ anagram of "toil"

"quiet" ⇒ musically, "piano" ⇒ usually shortened to "p"

anagram of "toil", added to "p"

Someone who is allowed to fly a plane is said to "have his wings"

"pilot"

Land of the man in grey, perhaps (7)

(Source: London Evening Standard)

The answer is a "land", or "country"

"man in grey, perhaps" ⇒ "man" inside anagram of "grey"

"germany"

One plus Two? (6)

(Source: London Evening Standard)

"?" warns of a non-standard or unusual interpretation

"One plus Two" ⇒ 1 + 2 ⇒ 12

"twelve"

Letter from a Greek patriot, apparently (4)

(Source: London Evening Standard)

Looking for the name of a Greek letter

"from a Greek patriot, apparently" ⇒ word can be found within "patriot, apparently"

"iota"

Show a bit of distress, obviously (3)

(Source: London Evening Standard)

"a bit of distress, obviously" ⇒ word is found within "distress, obviously"

Meaning is a symbol of distress

"sob"

Cook various meats (5)

(Source: London Evening Standard)

Word meaning "cook"

"various meats" ⇒ anagram of "meats"

"steam"

Diminutive siblings (4)

(Source: London Evening Standard)

"diminutive" ⇒ denotes shortened form or abbreviation

"siblings" ⇒ e.g. "brothers"

"bros"

Laugh or cry (4)

(Source: London Evening Standard)

Word meaning both "laugh" and "cry"

"hoot"

Released some of the funds I had (5)

(Source: London Evening Standard)

"some of the funds" ⇒ subset of letters from "funds" ⇒ e.g. "und"

"I had" ⇒ "I'd" ⇒ "id"

Word meaning "released"

"undid"

Ask earnestly for piano wire (5)

(Source: London Evening Standard)

"piano" ⇒ in music, direction meaning "soft" ⇒ usually abbreviated "p"

"p" + another word for "wire" ⇒ "p" + "lead"

Meaning to ask earnestly

"plead"

Ability to develop a certain amount of prowess (5)

(Source: London Evening Standard)

"a certain amount of prowess" ⇒ subset of letters from "prowess"

Meaning the ability to develop

"power"

The game of sorting odd mail (3, 4)

(Source: London Evening Standard)

"sorting odd mail" ⇒ anagram of "odd mail"

The name of a game

"old maid"

Undertake to crack an egg, sweetheart! (6)

(Source: London Evening Standard)

"crack an egg" ⇒ anagram of "an egg"

"sweetheart" ⇒ heart of "sweet" ⇒ middle letter or letters of "sweet" ⇒ "e"

Anagram of "anegg" + "e", meaning "undertake" or "undertake to"

"engage"