The most common and most likely answer to this crossword clue is the 8 letter word GRADUATE
I've seen this crossword clue in The Sunday Telegraph
G
R
A
D
U
A
T
E
More clues leading to the result GRADUATE
- Around university, raged at changing what students do on degree day
- Greek character held back by Mark Braddock?
- Educated person argued at random
- Arrange in order to host university alumnus
- Complete studies diminished twin within framework
- One given first degree?
- University type had to be sent down after a drug bust
- A drug, foolishly consumed, finished student?
- One now down having been up successfully?
Buddy explains!

The straight part
We know that "finished student" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case finished student = graduate.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does GRADUATE mean?
GRADUATE noun- A person who is recognized by a university as having completed the requirements of a degree studied at the institution.
- A person who is recognized by a high school as having completed the requirements of a course of study at the school.
- A person who is recognized as having completed any level of education.
- A graduated (marked) cup or other container, thus fit for measuring.
- To be recognized by a school or university as having completed the requirements of a degree studied at the institution.
- To be certified as having earned a degree from; to graduate from (an institution).
- To certify (a student) as having earned a degree
- To mark (something) with degrees; to divide into regular steps or intervals, as the scale of a thermometer, a scheme of punishment or rewards, etc.
- To change gradually.
- To prepare gradually; to arrange, temper, or modify by degrees or to a certain degree; to determine the degrees of.
- To bring to a certain degree of consistency, by evaporation, as a fluid.
- To taper, as the tail of certain birds.
- Graduated, arranged by degrees
- Holding an academic degree
- Relating to an academic degree