Relations out of bathroom . . . result! (5)
I believe the answer is:
ensue
'result' is the definition.
(to ensue is to occur or result)
'relations out of bathroom' is the wordplay.
'relations' becomes 'it' (both can mean sex).
'out of' indicates named letters should be taken away ('out of' can mean no longer having).
'bathroom' becomes 'en suite' (I've seen this before).
'ensuite' with 'it' taken away is 'ENSUE'.
(Other definitions for ensue that I've seen before include "Occur afterwards" , "Arise" , "Result in a particular way" , "Proceed" , "Come along afterwards" .)