Name adopted by one "Lisa", maybe (5)
I believe the answer is:
alias
'name adopted' is the definition.
'by one lisa maybe' is the wordplay.
'by' says to put letters next to each other.
'one' becomes 'a' ().
'maybe' indicates anagramming the letters.
'lisa' anagrammed gives 'lias'.
'a'+'lias' is 'ALIAS'.
(Other definitions for alias that I've seen before include "aka" , "False or assumed name" , "Also known as" , "one's assumed" , "Otherwise called" .)