Continued, strangely disregarded (9)
I believe the answer is:
unnoticed
'disregarded' is the definition.
(similar in meaning)
'continued strangely' is the wordplay.
'strangely' indicates an anagram.
'continued' anagrammed gives 'UNNOTICED'.
(Other definitions for unnoticed that I've seen before include "Overlooked" , "without attracting attention" , "Continued to be not observed" , "Unperceived" , "behind closed doors?" .)