The most common and most likely answer to this crossword clue is the 4 letter word WIMP
I've seen this crossword clue in The Times
W
I
M
P
More clues leading to the result WIMP
- Chicken parts now imported
- Weakling from Caribbean: one sitting in house
- West Indian politician is a feeble person
- Women’s group taking on politician, a weak fellow
- I’m initially placed under wide doormat
- Feeble chap‘s wife a devil
- Wife to independent politician being spineless sort
- Read in this how I’m pusillanimous!
- Softy with little devil
- Women’s group representative gets wet
Buddy explains!

The straight part
We know that "doormat" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case doormat = wimp.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 WIMP mean?
WIMP noun- Acronym of window, icon, menu, pointer. (a graphical interface paradigm)
- Acronym of window-icon-mouse program.
- A hypothetical class of particle, proposed to explain the dark matter problem.
- Someone who lacks confidence or courage, is weak, ineffectual, irresolute and wishy-washy
- To behave submissively.
- To render wimpy.