How do I solve 16 across in Times Cryptic 29538?

Question

Accepted Answer

16 across reads "Eat out and so on at hotel" (4 letters); the answer is ETCH. It's a charade: the answer breaks into parts in clue order, each part clued by a word or short phrase. No indicators needed; watch for standard abbreviations (RA = artist, US = American, IN = at home) and short synonyms. The full step-by-step breakdown is on this page.

Eat out and so on at hotel (4)

16A — Eat out and so on at hotel (4) — ETCH