Turn, oddly reluctant to cross (8)
I believe the answer is:
traverse
'cross' is the definition.
('traverse' can be a synonym of 'cross')
'turn oddly reluctant' is the wordplay.
'oddly' means one should take alternating letters.
'reluctant' becomes 'averse' (I've seen this before).
The alternate letters of 'turn' are 'tr'.
'tr'+'averse'='TRAVERSE'
'to' acts as a link.
(Other definitions for traverse that I've seen before include "Travel across or pass over" , "get across" , "Cross sideways" , "Move across" , "Extend or bridge across" .)