Church gets call from shrink (6)
I believe the answer is:
cringe
'shrink' is the definition.
(I know that shrink can be written as cringe)
'church gets call' is the wordplay.
'church' becomes 'ce' (abbreviation for Church of England).
'gets' indicates putting letters inside (gets can mean captures or absorbs).
'call' becomes 'ring' (telephone call).
'ce' placed around 'ring' is 'CRINGE'.
'from' is the link.
(Other definitions for cringe that I've seen before include "Wince" , "Cower in embarrassment or fear" , "Start" , "quail" , "Crouch" .)