Grannies disperse their income (8)
I believe the answer is:
earnings
'income' is the definition.
(I know that earnings is a type of income)
'grannies disperse' is the wordplay.
'disperse' indicates anagramming the letters (I've seen 'disperses' mean this).
'grannies' anagrammed gives 'EARNINGS'.
'their' acts as a link.
(Other definitions for earnings that I've seen before include "Income from work" , "Revenue" , "Returns received for work" , "Wages for grannies" , "Monies obtained in return for labour or services" .)