Cheapskate wig that strangely has onset of dandruff (8)
I believe the answer is:
tightwad
'cheapskate' is the definition.
(I've seen this before)
'wig that strangely has onset of dandruff' is the wordplay.
'strangely' indicates anagramming the letters.
'has' means one lot of letters go next to another.
'onset of' suggests taking the first letters.
The first letter of 'dandruff' is 'd'.
'wig'+'that'='wigthat'
'wigthat' is an anagram of 'tightwa'.
'tightwa'+'d'='TIGHTWAD'
(Other definitions for tightwad that I've seen before include "Skinflint" , "Mean person (US)" , "Miserly person" , "Cheapskate" , "Miser (sl.)" .)