The most common and most likely answer to this crossword clue is the 7 letter word GRATING
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Buddy explains!
The straight part
We know that "Framework of bars/setting our teeth on edge" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case framework of bars/setting our teeth on edge = grating.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 GRATING mean?
GRATING verb- To furnish with grates; to protect with a grating or crossbars
- To shred (things, usually foodstuffs), by rubbing across a grater
- To make an unpleasant rasping sound, often as the result of rubbing against something
- (by extension) to get on one's nerves; to irritate, annoy
- (by extension) to annoy
- A barrier that has parallel or crossed bars blocking a passage but admitting air.
- A frame of iron bars to hold a fire.
- The loose material that comes from something being grated.
- An optical system of close equidistant and parallel lines or bars, especially lines ruled on a polished surface, used for producing spectra by diffraction.
- (in the plural) The strong wooden lattice used to cover a hatch, admitting light and air; also, a movable lattice used for the flooring of boats.
- The sound made by something that grates against something else.
- (typically of a voice) Harsh and unpleasant.
- Abrasive; tending to annoy.