The most common and most likely answer to this crossword clue is the 7 letter word RESIDUE
I've seen this crossword clue in The Times
R
E
S
I
D
U
E
More clues leading to the result RESIDUE
- Remainder live around university
- Rest live outside university
- Criminally re-use ID that's left behind?
- It's left for all to see in lodge
- Those remaining live around university
- Remains on team holding United in second half
- I reused horrible leftovers
- Remaining bits reused, I gathered
- Remains unwanted at first in army corps team
- Those left on team to hold United in second half
Buddy explains!

The straight part
We know that "Remainder" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case remainder = residue.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 RESIDUE mean?
RESIDUE noun- Whatever remains after something else has been removed.
- The substance that remains after evaporation, distillation, filtration or any similar process.
- A molecule that is released from a polymer after bonds between neighbouring monomers are broken, such as an amino acid in a polypeptide chain.
- Whatever property or effects are left in an estate after payment of all debts, other charges and deduction of what is specifically bequeathed by the testator.
- A form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities.