Deal won oddly early in morning? (4)
I believe the answer is:
dawn
'early in morning?' is the definition.
(dawn happens in the morning)
'deal won oddly' is the wordplay.
'oddly' means one should take alternating letters (letters in the odd-numbered positions are used).
'deal'+'won'='dealwon'
The alternate letters of 'dealwon' are 'DAWN'.
(Other definitions for dawn that I've seen before include "fresh start" , "Break of day" , "Cockcrow" , "Threshold" , "Daybreak" .)