Eggs and lice covering rancid president's workplace (4,6)
I believe the answer is:
oval office
'president's workplace' is the definition.
(I've seen this in another clue)
'eggs and lice covering rancid' is the wordplay.
'eggs' becomes 'ova' (term for egg cells).
'and' is a charade indicator (letters next to each other).
'covering' is an insertion indicator.
'rancid' becomes 'off' (I've seen this before).
'lice' going around 'off' is 'loffice'.
'ova'+'loffice'='OVAL OFFICE'
(Other definitions for oval office that I've seen before include "Where US presidents have their desk" , "US president's workplace" , "US presidential room" , "room for president" .)