Ollie upset wife so keep out of sight (3,3)
I believe the answer is:
lie low
'keep out of sight' is the definition.
(I've seen this before)
'ollie upset wife' is the wordplay.
'upset' is an anagram indicator.
'wife' becomes 'w'.
'ollie' anagrammed gives 'lielo'.
'lielo'+'w'='LIE LOW'
'so' is the link.
(Other definitions for lie low that I've seen before include "Conceal oneself or one's intentions" , "avoid detection" , "Remain unobtrusive - in prone posture?" , "Conceal oneself, don't make intentions known" , "Conceal oneself, don't be conspicuous" .)