Looking for date with a royal (7)
I believe the answer is:
seeking
'looking for' is the definition.
('seek' can be a synonym of 'look for')
'date with a royal' is the wordplay.
'date' becomes 'see' (synonyms).
'with' says to put letters next to each other.
'a royal' becomes 'king' (a king is royal).
'see'+'king'='SEEKING'
(Other definitions for seeking that I've seen before include "Looking for something" , "On the hunt for" , "Searching for" , "Requesting" , "Applying" .)