Canines maybe tailing enigmatic European travelling home, initially (5)
I believe the answer is:
teeth
'canines maybe' is the definition.
'tailing enigmatic european travelling home initially' is the wordplay.
'initially' suggests taking the first letters.
The first letters of 'tailing enigmatic european travelling home' is 'TEETH'.
(Other definitions for teeth that I've seen before include "One may be armed to them" , "Canines, for example" , "Cog wheel projections" , "watchdog needs these" , "Canines, maybe" .)