Analyst finding quiet place to skate (6)
I believe the answer is:
shrink
'analyst' is the definition.
(I've seen this in another clue)
'quiet place to skate' is the wordplay.
'quiet' becomes 'sh' (both can be said to tell someone to be quiet).
'place to skate' becomes 'rink' (I've seen this in another clue).
'sh'+'rink'='SHRINK'
'finding' is the link.
(Other definitions for shrink that I've seen before include "Downsize" , "Contract for a psychiatrist?" , "Get less" , "Contract, reduce" , "Grow smaller like slang psychiatrist" .)