Passes European circuits with ease, oddly (7)
I believe the answer is:
elapses
'passes' is the definition.
('elapse' can be a synonym of 'pass')
'european circuits with ease oddly' is the wordplay.
'european' becomes 'e' (abbreviation e.g. EU).
'circuits' becomes 'laps' ('lap' can be a synonym of 'circuit').
'with' says to put letters next to each other.
'oddly' indicates alternate letters (letters in the odd-numbered positions are used).
The alternate letters of 'ease' are 'es'.
'e'+'laps'+'es'='ELAPSES'
(Other definitions for elapses that I've seen before include "Passes (in time)" , "Slips away" .)