Student drawing the wrong way in mid-speech (7)
I believe the answer is:
trainee
'student' is the definition.
(I've seen this in another clue)
'drawing the wrong way in mid-speech' is the wordplay.
'drawing' becomes 'art' (drawing is an art).
'the wrong way' says the letters should be written in reverse.
'mid' indicates the central letters (mid- can mean the middle of something).
The centre of 'speech' is 'ee'.
'art' back-to-front is 'tra'.
'tra'+'in'+'ee'='TRAINEE'
(Other definitions for trainee that I've seen before include "Person under instruction" , "novice" , "Student" , "One learning a job" , "encountered bad weather in driving area" .)