Amongst others, one providing fresh test for student (5)
I believe the answer is:
resit
'test for student' is the definition.
'resit' can be an answer for 'test' (I have seen 'Second test' mean 'resit' so perhaps 'test' could also mean 'resit'). I am not sure about the 'for student' bit.
'amongst others one providing fresh' is the wordplay.
'amongst' means one lot of letters goes inside another.
'others' becomes 'rest' (eg the rest of a group).
'one providing fresh' becomes 'i' (I can't justify this - if you can you should give a lot more credence to this answer).
'rest' placed around 'i' is 'RESIT'.
Can you help me to learn more?
(Other definitions for resit that I've seen before include "Student's test" , "Exam taken again" , "Enquiring intrusively (into person's affairs)" , "Take examination again" , "take another exam" .)