Poles meeting extremely annoying hitch (4)
I believe the answer is:
snag
'hitch' is the definition.
(snagging is a kind of hitching)
'poles meeting extremely annoying' is the wordplay.
'poles' becomes 'sn' (North and South poles).
'meeting' is a charade indicator (letters next to each other).
'extremely' suggests removing the centre.
'annoying' with its middle removed is 'ag'.
'sn'+'ag'='SNAG'
(Other definitions for snag that I've seen before include "Stumbling block" , "Difficulty; catch" , "Hidden obstacle or drawback" , "Slight problem" , "Glitch" .)