Following a fat bear, oddly (5)
I believe the answer is:
after
'following' is the definition.
(following can mean after or as a result of)
'a fat bear oddly' is the wordplay.
'oddly' indicates alternate letters (letters in the odd-numbered positions are used).
'fat'+'bear'='fatbear'
The alternating letters of 'fatbear' are 'fter'.
'a'+'fter'='AFTER'
(Other definitions for after that I've seen before include "Subsequent to" , "Searching for" , "Post, later than" , "Following, consequent to" , "Behind; in quest of" .)