Food safe, dinnerware safe and non-toxic are three different promises, and the difference matters on a mug.

Food safe
A wine glass and fork on the bottle. In the United States this label has a legal definition behind it: the FDA sets limits on how much lead and cadmium a fired glaze may release, in Compliance Policy Guides 545.450 and 545.400, measured by the ASTM C738 leach test.
What it promises is narrow and specific. Used as the maker directs, the glaze will not leach harmful lead or cadmium into your food. That is the whole claim.
What it does not promise is durability. A food safe glaze can still craze, scratch, stain or fail in a dishwasher. Safe to eat from is not the same as built to last.

Dinnerware safe
A step beyond food safe. The glaze has to be non-leaching and also smooth, hard and non-absorbent, with nowhere for bacteria to sit.
The FDA Food Code asks food contact surfaces to be safe, durable, corrosion resistant, heavy enough to survive repeated washing, smooth and easily cleanable, and resistant to pitting, chipping, crazing, scratching and distortion. That is a much higher bar than a leach test.
And it is specific to the clay underneath. A glaze can only be called dinnerware safe on a body it has been tested against, because a thermal expansion mismatch causes crazing, and crazing disqualifies it whatever the jar says.
Non-toxic
The most misread label on the shelf. Non-toxic describes the wet glaze in the jar, not the fired surface on your pot.
It means the material will not harm you in normal use: handling it, brushing it, working near it. Think safe to touch rather than safe to eat from.
A glaze can be genuinely non-toxic and completely wrong for the inside of a mug. If a bottle says non-toxic and nothing else, treat it as decorative until you find a food safe statement.
Dishwasher and microwave safe
Separate claims again, and separate from food safety. A glaze can be food safe and still come out of a dishwasher dulled, or develop crazing after enough heat cycles.
Microwave safe usually fails for one of two reasons: metallic content in the glaze, or a body that absorbs water and heats unevenly. Anything with real metal in it stays out of the microwave regardless of what else the label says.
Check each glaze page. We record these separately because the makers do.
AP and CL seals
Two seals from the art materials world, answering a different question than the FDA does.
AP means Approved Product. A toxicologist reviewed the formula and found no ingredient in a quantity likely to cause acute or chronic harm, including to children. The closest thing to a safe for all ages stamp.
CL means Cautionary Labeling. A toxicologist reviewed it, found something worth warning about, and required that warning to be printed. Generally not for anyone under 12. Neither seal says anything about whether the fired glaze is safe for food.
ASTM C-1023 and D-4236
Two standards you will see in small type. C-1023 covers labeling ceramic art materials for chronic health hazards, D-4236 covers art materials generally.
Worth knowing what they actually do: they require a manufacturer to disclose known risks. They do not define tests for chronic hazards, they are written for artist-sized quantities rather than industrial use, and they do not claim to cover every concern.
They are a disclosure framework, not a guarantee. The last line of defense is still the person holding the brush.

Dinnerware safe with a clear glaze
A spoon and fork with a spark beside them. It means the glaze is not dinnerware safe on its own, but becomes so once a food safe clear goes over it.
Most underglazes sit here. The color is stable, the surface is not, and a clear coat does the sealing. Skip the clear and you have a decorative pot.
If you are underglazing the inside of a mug, the clear is not optional.

Not dinnerware safe
The same spoon and fork, crossed out. This one is unambiguous and worth taking at face value.
It does not mean the glaze is dangerous to handle or that you cannot use it. It means the fired surface has no business touching food, at any thickness, with any clear over it.
Put it on the outside, keep it off the rim, and line the inside with something rated.