Pass by the Spanish part of church (6)
I believe the answer is:
elapse
'pass by' is the definition.
(to elapse is to run out or pass by)
'the spanish part of church' is the wordplay.
'the spanish' becomes 'el' ('the' in Spanish).
'part of church' becomes 'apse' (part of a church building).
'el'+'apse'='ELAPSE'
(Other definitions for elapse that I've seen before include "'Pass by, as time (6)'" , "Glide by" , "Go past" , "pass in silence" , "run by" .)