Artist takes sick during disastrous tour (7)
I believe the answer is:
utrillo
'artist' is the definition.
(Utrillo is an example)
'sick during disastrous tour' is the wordplay.
'sick' becomes 'ill' (similar in meaning).
'during' means one lot of letters goes inside another.
'disastrous' indicates anagramming the letters.
'tour' with letters rearranged gives 'utro'.
'ill' going into 'utro' is 'UTRILLO'.
'takes' acts as a link.
(Other definitions for utrillo that I've seen before include "French painter, d. 1955" , "20th-century French painter -- our till (anag)" , "20th century French painter" , "Maurice -, French painter" , "Maurice - - , Paris painter" .)