Leader quitting cooler band (5)
I believe the answer is:
ridge
'band' is the definition.
(I've seen this before)
'leader quitting cooler' is the wordplay.
'leader quitting' means to remove the first letter.
'cooler' becomes 'fridge' (refrigerator).
'fridge' with its initial letter taken away is 'RIDGE'.
(Other definitions for ridge that I've seen before include "Long, narrow hilltop" , "German Baltic port, Buxtehude home" , "back of whale" , "Line of higher ground" , "Top of sloping roof" .)