A cut in a tyre raises one question and it is about depth rather than length. A tyre has a few millimetres of rubber over the steel belt in the tread and a thinner layer over the cords in the sidewall, so a gash that looks alarming across the surface can be entirely harmless, while a short slit in the wrong place can be through to the structure. What you are looking for is anything fibrous or metallic in the base of the cut, and whether it opens up when the tyre is flexed.
So an assessment means getting into the cut properly rather than glancing at it. If it is in the tread and has not reached the belt, the tyre stays on and you have lost nothing. If cords or steel are visible, or if the cut is anywhere in the sidewall, it is finished and no repair exists for it, whatever the tread depth says. Being told your tyre is fine is a perfectly ordinary outcome here and it happens more often than the other one.
A bulge in a sidewall is a tyre telling you the casing has already failed. It will hold air, sometimes for weeks, and then it will not. Cuts and splits in the same area are the same story, and none of it is repairable: that is not us being cautious, it is that the standards do not permit a repair outside the tread. What we can do is come to Putney, confirm what you are looking at, and fit the correct replacement on the spot, whether the car is on a driveway in Putney Heath or parked up in Roehampton. The alloy and the pressure sensor get checked while the wheel is off. One visit, and the car never has to be driven on a tyre you have stopped trusting.

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Between the through traffic on the Upper Richmond Road and the tight parking around the High Street, cut tyres are a routine call in SW15, and most of the cuts are shallower than they look. The one that matters is the one with something metallic or fibrous in the base of it. That gets judged with the tyre in front of you, at the kerb, and if it is sound you keep it.
A car near Putney Heath had a cut running across two tread blocks that looked serious and had not reached the belt. The tyre went back on.
A slit barely a centimetre long in the sidewall of a car in West Putney, with cord visible in the base. There is no repair for that anywhere.
A cut on a tyre near Putney High Street closed up when the wheel was off and opened when the car was back down. That movement is what tells you the structure has gone.
Anything that reaches the steel belt in the tread, or the cords in the sidewall. If you can see something in the base that is not rubber, the tyre is finished.
Much less than people expect. A long shallow graze is often nothing, and a short deep slit in the sidewall ends the tyre.
Only if it is a clean penetration in the central band within the size limit. An open gash is not the same thing as a nail hole and generally cannot be patched.
If you can see anything other than rubber in the cut, yes. Otherwise it is a judgement worth having made properly rather than guessed at.
Plenty of these visits end with nothing sold. Telling somebody their tyre is sound is the most common result of a damage call.
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