Some pressure to pursue title that’s held by cyclist (9)
I believe the answer is:
handlebar
'that's held by cyclist' is the definition.
I can't tell whether this definition defines the answer.
'some pressure to pursue title' is the wordplay.
'some pressure' becomes 'bar' (I can't explain this - if you can you should give a lot more credence to this answer).
'to pursue' says to put letters next to each other.
'title' becomes 'handle' (handle can mean a name).
'bar' put after 'handle' is 'HANDLEBAR'.
Can you help me to learn more?
(Other definitions for handlebar that I've seen before include "used by bikers" , "Type of moustache - on bicycle" , "guide for bikers" , "Biker uses this" , "Whiskers?" .)