Looked to have organ around church (7)
I believe the answer is:
glanced
'looked' is the definition.
(glancing is a kind of looking)
'organ around church' is the wordplay.
'organ' becomes 'gland' (gland is a kind of organ).
'around' is an insertion indicator.
'church' becomes 'CE' (abbreviation for Church of England).
'gland' placed around 'ce' is 'GLANCED'.
'to have' is the link.
(Other definitions for glanced that I've seen before include "Glimpsed" , "Looked quickly" , "Looked briefly or bounced off" , "Took a quick look" , "Peeked" .)