Strange clue about the right to have money (5)
I believe the answer is:
lucre
'money' is the definition.
(I know that lucre is a type of money)
'strange clue about the right' is the wordplay.
'strange' is an anagram indicator.
'about' is an insertion indicator.
'the right' becomes 'r' (common abbreviation).
'clue' with letters rearranged gives 'luce'.
'luce' placed around 'r' is 'LUCRE'.
'to have' acts as a link.
(Other definitions for lucre that I've seen before include "ill-gotten gain" , "monetary gain" , "Archaic wealth, may be filthy" , "Money (especially when gained dishonourably)" , "Wealth - cruel (anag)" .)