Stone rich wife shed in secret (8)
I believe the answer is:
stealthy
'secret' is the definition.
(I've seen this before)
'stone rich wife shed' is the wordplay.
'stone' becomes 'st'.
'rich' becomes 'wealthy' (similar in meaning).
'wife' becomes 'w'.
'shed' suggests deleting specific letters ('shed' as in 'cut away').
'wealthy' with 'w' taken out is 'ealthy'.
'st'+'ealthy'='STEALTHY'
'in' is the link.
(Other definitions for stealthy that I've seen before include "Done in a quiet or secretive way" , "Secretive, silent" , "That's Ely (anag.)" , "Unobtrusive" , "Acting in furtive or covert manner" .)