A bill or invoice; the amount owed for purchases or services (often 'tsuke' for credit/charge to pay later).
居酒屋で飲んだ分は、月末にまとめて付けで支払うことにしている。
I arrange to pay what I drank at the izakaya in a lump sum at the end of the month.
レジの女性に『ツケでお願いします』と言ってしまった。
I ended up saying to the cashier, 'Please put it on my tab.'
彼は飲み代を店に付けにしていたが、先週まとめて支払った。
He had his drinking expenses charged at the bar, but he paid them off last week.
A tab or credit — an entry recording a purchase to be paid later; using credit at a shop or restaurant.
この八百屋は顔馴染みならツケをきかせてくれる。
This greengrocer gives regular customers credit (lets them put things on the tab).
締め日に店から付けの明細が送られてきた。
A statement of the items on the tab was sent from the shop on the billing date.
In board games (e.g., go), 'tsuke' is an attaching move — playing a move that attaches to the opponent's stone or piece; the attachment move itself.
この局面では黒の『付け』が有力で、白は苦しい。
In this position, Black's attach (tsuke) is strong, and White is in a difficult spot.
A sound effect in kabuki and other traditional performing arts — the sound produced by striking wooden clappers or boards (often written 'ツケ').
名場面で拍子木の付けが入り、場の緊張感が高まった。
At the famous scene, the clappers' tsuke sounded, heightening the tension.
Archaic: a letter — an old word for written correspondence, now rarely used.
（古文）先日の付けは到着したか、との書簡が残されている。
(Classical) A letter remains asking whether the aforementioned missive has arrived.
Archaic: a reason or pretext — used in older texts, not common today.
（古文）行かぬ付けを並べてはならぬ、との戒めが書かれている。
(Classical) A warning is written not to list false excuses for not going.
Archaic: one's fortune or luck — a term seen in old writings and rarely used now.
（古文）あの者の付けは悪し、との記述がある。
(Classical) There is a note saying that that person's fortune is bad.