Wild solution, with a degree of overlap, is something to have on hand (8)
I believe the answer is:
manicure
'overlap is something to have on hand' is the definition.
I can't tell whether this definition defines the answer.
'wild solution with a degree' is the wordplay.
'wild' becomes 'ni' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'solution' becomes 'cure' (cure can mean a solution or treatment).
'with' means one lot of letters go next to another.
'a degree' becomes 'MA' (Master of Arts is a type of degree).
'ni'+'cure'='nicure'
'nicure' put after 'ma' is 'MANICURE'.
'of' acts as a link.
Can you help me to learn more?
(Other definitions for manicure that I've seen before include "Cosmetic care of the hands" , "Cosmetic nail treatment" , "Grooming for 10, 17 and 18" , "A numeric approach to care of the hands" , "Care of hands and nails" .)