Like the look of, for no plain reason (5)
I believe the answer is:
fancy
'like' is the definition.
(both can mean to find someone attractive)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for fancy that I've seen before include "Imagine; desire" , "Have a crush on" , "Highly-decorated; whim" , "idea" , "Imagine - whim - highly decorated" .)