The most common and most likely answer to this crossword clue is the 10 letter word SWALLOWING
I've seen this crossword clue in The Times
S
W
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More clues leading to the result SWALLOWING
Buddy explains!

The straight part
We know that "repression" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case repression = swallowing.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 SWALLOWING mean?
SWALLOWING verb- To cause (food, drink etc.) to pass from the mouth into the stomach; to take into the stomach through the throat.
- To take (something) in so that it disappears; to consume, absorb.
- To take food down into the stomach; to make the muscular contractions of the oesophagus to achieve this, often taken as a sign of nervousness or strong emotion.
- To accept easily or without questions; to believe, accept.
- To engross; to appropriate; usually with up.
- To retract; to recant.
- To put up with; to bear patiently or without retaliation.
- The act of swallowing.