Redesign secure HQ where the PM stays sometimes (8)
I believe the answer is:
chequers
'where the pm stays sometimes' is the definition.
'redesign secure hq' is the wordplay.
'redesign' indicates anagramming the letters (I've seen 'redesigns' mean this).
'secure'+'hq'='securehq'
'securehq' with letters rearranged gives 'CHEQUERS'.
(Other definitions for chequers that I've seen before include "Prime minister's official country residence" , "board game" , "Official country residence of the British Prime Minister" , "PM's country house" , "country retreat in 21 [BUCKS]" .)