The most common and most likely answer to this crossword clue is the 7 letter word TRINITY
I've seen this crossword clue in The Guardian
T
R
I
N
I
T
Y
More clues leading to the result TRINITY
- One fool in attempt for term in Oxford or Cambridge college
- College essay one fool submitted
- Three in one
- Threesome employed as computer technicians in test
- Triad judge admits taking part
- Group of three attempt to kidnap popular Italian
- I can put back entering test for college
- Essay I can write up in college
- Group of three attempt to go round in it
- College threesome
Buddy explains!

The straight part
We know that "Cambridge college" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cambridge college = trinity.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 TRINITY mean?
TRINITY noun- A group or set of three people or things; three things combined into one.
- The state of being three; independence of three things; things divided into three.