Contrary communist grasping chaps annoy (7)
I believe the answer is:
torment
'annoy' is the definition.
(tormenting is a kind of annoying)
'contrary communist grasping chaps' is the wordplay.
'contrary' says the letters should be written backwards.
'communist' becomes 'trot' (short for Trotskyist).
'grasping' indicates putting letters inside.
'chaps' becomes 'men' (I've seen this before).
'trot' backwards is 'tort'.
'tort' placed around 'men' is 'TORMENT'.
(Other definitions for torment that I've seen before include "Great suffering" , "Badger" , "Severe physical or mental suffering" , "Harry" , "Cause mental distress" .)