The most common and most likely answer to this crossword clue is the 4 letter word CROP
I've seen this crossword clue in The Daily Telegraph
C
R
O
P
More clues leading to the result CROP
Buddy explains!

The straight part
We know that "Cut/potatoes, say" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cut/potatoes, say = crop.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 CROP mean?
CROP noun- A plant, especially a cereal, grown to be harvested as food, livestock fodder or fuel or for any other economic purpose.
- The natural production for a specific year, particularly of plants.
- A group, cluster or collection of things occurring at the same time.
- A group of vesicles at the same stage of development in a disease
- The lashing end of a whip
- An entire short whip, especially as used in horse-riding; a riding crop.
- A rocky outcrop.
- The act of cropping.
- A photograph or other image that has been reduced by removing the outer parts.
- A short haircut.
- A pouch-like part of the alimentary tract of some birds (and some other animals), used to store food before digestion, or for regurgitation; a craw.
- The foliate part of a finial.
- The head of a flower, especially when picked; an ear of corn; the top branches of a tree.
- Tin ore prepared for smelting.
- Outcrop of a vein or seam at the surface.
- An entire oxhide.
- To remove the top end of something, especially a plant.
- To mow, reap or gather.
- To cut (especially hair or an animal's tail or ears) short.
- To remove the outer parts of a photograph or other image, typically in order to frame the subject better.
- To yield harvest.
- To cause to bear a crop.