Overly fond of wife, you finally get a hug and a kiss with right promises (8)
I believe the answer is:
uxorious
'overly fond of wife' is the definition.
(uxorious means excessively fond of one's wife)
'hug and a kiss with right promises' is the wordplay.
'hug' becomes 'o' (O can represent a hug in written messages).
'and' means one lot of letters go next to another (I've seen this in other clues).
'a kiss with' becomes 'ux' (I am not sure about this - if you are sure you should believe this answer much more).
'right' becomes 'r' (common abbreviation).
'promises' becomes 'ious' (IOU's, promises to pay a debt).
'o' after 'ux' is 'uxo'.
'uxo'+'r'+'ious'='UXORIOUS'
'you finally get a' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
(Other definitions for uxorious that I've seen before include "Too devoted to wife" , "Excessively fond of one's wife" , "Excessively attached to one's wife" , "Very much attached to wife" , "Foolishly fond of ones wife" .)