Alumnus Eliot entertaining cheeky thrusts forward (8)

'thrusts forward' is the definition.
The answer and definition can be both to do with communicating as well as being verbs in their -s form.
Perhaps you can see an association between them that I can't see?

'alumnus eliot entertaining cheeky' is the wordplay.
'alumnus' becomes 'ob' (old boy, as in an old private school pupil).
'eliot' becomes 'ts' (poet TS Eliot).
'entertaining' means one lot of letters goes inside another (inviting in, as for dinner).
'cheeky' becomes 'rude' (I can't justify this - if you can you should give a lot more credence to this answer).
'ts' placed around 'rude' is 'trudes'.
'ob'+'trudes'='OBTRUDES'

Can you help me to learn more?