Beaming artist departs with Tina excitedly (7)
I believe the answer is:
radiant
'beaming' is the definition.
(I know that beaming can be written as radiant)
'artist departs with tina excitedly' is the wordplay.
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'departs' becomes 'd' (common abbreviation e.g. train timetables).
'with' means one lot of letters go next to another.
'excitedly' indicates an anagram.
'tina' is an anagram of 'iant'.
'ra'+'d'+'iant'='RADIANT'
(Other definitions for radiant that I've seen before include "Bright" , "Very conspicuous" , "Glowing with joy" , "Brightly glowing" , "beaming with joy" .)