Good artist regularly showing determination (4)
I believe the answer is:
grit
'determination' is the definition.
(thesaurus)
'good artist regularly' is the wordplay.
'good' becomes 'g' (abbreviation).
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
The alternating letters of 'artist' are 'rit'.
'g'+'rit'='GRIT'
'showing' acts as a link.
(Other definitions for grit that I've seen before include "Indomitability" , "Determination -- coarse sandstone" , "Guts and gumption" , "Gravel or colloquial courage" , "Stone particles; courage" .)