Some abandon a programme for the rest of the afternoon (3)
I believe the answer is:
nap
'the rest of the afternoon' is the definition.
(I've seen this in another clue)
'some abandon a programme' is the wordplay.
'some' indicates a hidden word (some of the parts of the word are used).
'NAP' can be found hidden inside 'abandon a programme'.
'for' acts as a link.
(Other definitions for nap that I've seen before include "Sleep - card game - fibres on a snooker table" , "Pile (on e.g. velvet)" , "Racing tip that claims to be a certainty" , "raised bits of velvet" , "one akin to whist" .)