The most common and most likely answer to this crossword clue is the 4 letter word FOOT
I've seen this crossword clue in The Guardian
F
O
O
T
More clues leading to the result FOOT
Buddy explains!

The straight part
We know that "Limit" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case limit = foot.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 FOOT mean?
FOOT noun- A biological structure found in many animals that is used for locomotion and that is frequently a separate organ at the terminal part of the leg.
- Specifically, a human foot, which is found below the ankle and is used for standing and walking.
- (often used attributively) Travel by walking.
- The base or bottom of anything.
- The part of a flat surface on which the feet customarily rest.
- The end of a rectangular table opposite the head.
- A short foot-like projection on the bottom of an object to support it.
- A unit of measure equal to twelve inches or one third of a yard, equal to exactly 30.48 centimetres.
- A unit of measure for organ pipes equal to the wavelength of two octaves above middle C, approximately 328 mm.
- (collective) Foot soldiers; infantry.
- (cigars) The end of a cigar which is lit, and usually cut before lighting.
- The part of a sewing machine which presses downward on the fabric, and may also serve to move it forward.
- The bottommost part of a typed or printed page.
- The base of a piece of type, forming the sides of the groove.
- The basic measure of rhythm in a poem.
- The parsing of syllables into prosodic constituents, which are used to determine the placement of stress in languages along with the notions of constituent heads.
- The bottom edge of a sail.
- The end of a billiard or pool table behind the foot point where the balls are racked.
- In a bryophyte, that portion of a sporophyte which remains embedded within and attached to the parent gametophyte plant.
- The muscular part of a bivalve mollusc or a gastropod by which it moves or holds its position on a surface.
- The globular lower domain of a protein.
- The point of intersection of one line with another that is perpendicular to it.
- Fundamental principle; basis; plan.
- Recognized condition; rank; footing.
- To use the foot to kick (usually a ball).
- To pay (a bill).
- To tread to measure or music; to dance; to trip; to skip.
- To walk.
- To tread.
- To set on foot; to establish; to land.
- To renew the foot of (a stocking, etc.).
- To sum up, as the numbers in a column; sometimes with up.