By Kevin Carde
Answer: CAPITAL PUNISHMENT
The answer to each clue is a word ending in -MENT; the clue indicates both the meaning of the substring before -MENT and the meaning of the whole word.
| Remark on a top-level domain | COM-MENT |
| Live in a place separate from everyone else | APART-MENT |
| Teach how to paint farm animals | PIG-MENT |
| Dream up an imaginary fruit | FIG-MENT |
| Painfully teach homological algebra | TOR-MENT |
| Wear clothing made of a fish | GAR-MENT |
| Mourn part of Southern California | LA-MENT |
| Form a branch to handle leaving camp | DEPART-MENT |
| Teach extra yoga classes | SUPPLE-MENT |
| Mail something again with indignation | RESENT-MENT |
| Act less tame, confusingly | BEWILDER-MENT |
| Go below ground level to work in binary, for example | BASE-MENT |
| Write a document while deprived of water | PARCH-MENT |
| Emulate one of last year's ACs, for just a second | MO-MENT |
| Issue a declaration about a country | STATE-MENT |
| Begin graduation | COMMENCE-MENT |
| Fight from the parapets | BATTLE-MENT |
Taking the indicated letters spells out the answer, CAPITAL PUNISHMENT.