The most common and most likely answer to this crossword clue is the 5 letter word DEIGN
I've seen this crossword clue in The Daily Telegraph
D
E
I
G
N
More clues leading to the result DEIGN
- The old take plan without a pinch of salt
- Sketch concealing son’s stoop
- Hamlet, say, heard to condescend
- Stoop to lift first of snowdrops from plot
- Consent to plan to abandon Sweden
- Haughtily consent to listen to Kierkegaard, say
- Think fit to quote Hamlet?
- Condescend to draw missing son
- See fit European in the audience?
- Plan to dismiss son and consent reluctantly
Buddy explains!

The straight part
We know that "Lower oneself" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lower oneself = deign.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 DEIGN mean?
DEIGN verb- To condescend; to do despite a perceived affront to one's dignity.
- To condescend to give; to do something.
- To esteem worthy; to consider worth notice.