Puss, incredibly close, gets ban (7)
I believe the answer is:
suspend
'ban' is the definition.
(I've seen this before)
'puss incredibly close' is the wordplay.
'incredibly' indicates anagramming the letters.
'close' becomes 'end' (I've seen this in another clue).
'puss' with letters rearranged gives 'susp'.
'susp'+'end'='SUSPEND'
'gets' is the link.
(Other definitions for suspend that I've seen before include "Stop for a time" , "Carry out hanging" , "Hang, defer" , "put on line" , "Delay" .)