Tie, (for the win?)
Indeed!
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Oh man, what clues did I give again? This was a long game!
Height: 3 - Himalayas, Skyscraper, Moon
Encounter: 4 - Glove, Whip, Bear, Dice --- This was definitely the clue that went wrong for us. I was trying to think of a Dungeon and Dragons reference that would lead to these four words. I hadn't considered Face when you guessed it, but I was trying to avoid "Table", as most clues I could think of would lead to "You play on a Table". I thought about "Crit" instead... but I feel like that would've just gotten Dice.
Honey: 3 - Bear, Pie, Whip --- Honey-pie is a similar term to like, sweetie-pie. Honey Whip is a common "flavor" of whipped cream.
Afters: 3 - Post, Pie, Whip --- You got the first two here. The third was intended again as Whipped Cream - something that goes with Pie/Dessert ("afters" is a term used for dessert in certain areas of the world).
Both words they got for us (Glove, Moon) I had already clue'd, so unfortunately didn't help me narrow the field all that much.