Succeeding in being introduced to new genus (7)
I believe the answer is:
ensuing
'succeeding' is the definition.
(similar in meaning)
'in being introduced to new genus' is the wordplay.
'being introduced to' indicates putting letters inside.
'new' is an anagram indicator.
'genus' anagrammed gives 'ensug'.
'in' placed into 'ensug' is 'ENSUING'.
(Other definitions for ensuing that I've seen before include "This is coming after" , "Immediately following" , "Happening afterwards" , "Following as a result" , "Following as a consequence" .)