Something done to keep period at home fixed (10)
I believe the answer is:
determined
'fixed' is the definition.
('determine' can be a synonym of 'fix')
'something done to keep period at home' is the wordplay.
'something done' becomes 'deed' (I've seen this before).
'to keep' is an insertion indicator.
'period' becomes 'term' (term is a kind of period**).
'at home' becomes 'in' ('in' can be similar in meaning to 'at home').
'term'+'in'='termin'
'deed' enclosing 'termin' is 'DETERMINED'.
(Other definitions for determined that I've seen before include "set" , "Decided - resolute" , "settled" , "Found out" , "Resolved" .)