This writer's going round to stay in the same place (6)
I believe the answer is:
ibidem
'in the same place' is the definition.
('ibidem' can be a synonym of 'in the same place')
'this writer's going round to stay' is the wordplay.
'this writer's' becomes 'im' (the person writing the crossword clues).
'going round' means one lot of letters goes inside another.
'to stay' becomes 'bide' (biding is a kind of staying).
'im' enclosing 'bide' is 'IBIDEM'.
(Other definitions for ibidem that I've seen before include "In the same book or passage, often abbreviated" , "In the same source (Latin)" , "In the same place (in references)" , "In the same place as previous reference" , "In the same place (Latin)" .)