Even Ibsen left church to burp (5)
I believe the answer is:
belch
'burp' is the definition.
(synonyms)
'even ibsen left church' is the wordplay.
'even' means one should take alternating letters (even-numbered letters are used).
'left' becomes 'L' (common abbreviation).
'church' becomes 'ch' (common abbreviation).
The alternate letters of 'ibsen' are 'be'.
'be'+'l'+'ch'='BELCH'
'to' is the link.
(Other definitions for belch that I've seen before include "Eructation" , "Eructate" , "Burp" , "Violently eject" , "Unrefined report" .)