Single chap from east embracing old woman (5)
I believe the answer is:
naomi
'woman' is the definition.
'single chap from east embracing old' is the wordplay.
'single' becomes 'i' (one).
'chap' becomes 'man' (I've seen this before**).
'from east' says the letters should be written in reverse.
'embracing' indicates putting letters inside.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'i'+'man'='iman'
'iman' in reverse letter order is 'nami'.
'nami' enclosing 'o' is 'NAOMI'.
(Other definitions for naomi that I've seen before include "Biblical woman" , "woman's name" , "-- Campbell, British model" , "OT female" , "Do I moan about Biblical Ruth's mother-in-law?" .)