STOLEN PRODUCE
Credit: NY Times Crossword - Nov.3, 2013
Andy Kravis and Victor Barocas  (adapted)

If you were given the clue Many service dogs, after 29-Across, and 29-Across was They get stuffed at Greek restaurants, what would you come up with?

The answer would be EMNSHEHRDS.

Here's why:  Many service dogs are German shepherds. Grape leaves get stuffed at Greek restaurants. If each letter in G-R-A-P-E "leaves" GERMAN SHEPHERDS, you are left with EMNSHEHRDS. (The letters in GRAPE are dropped from GERMAN SHEPHERDS in order - i.e. first the G and then the R, leaving the first E.)

In summary, the clue:

EMNSHEHRDS
Many service dogs
After: They get stuffed at Greek restaurants

would be answered:

GERMAN SHEPHERDS
After: Grape leaves

1)
OCHNSSSTER
Legendary Scottish lake dweller
After: Tart treats

2)
RUMDBILEY
Circus founders
After: Ice cream treats

3)
COMPOUNFRCUR
Serious break
After: Schedule planners

4)
OXODNVERSIY
Iconic English school
After: Short-lived pests.....or an alternative title for this puzzle

Answers:

1)
LOCH NESS MONSTER
After: LEMON DROPS

2)
BARNUM AND BAILEY
After: BANANA SPLITS

3)
COMPOUND FRACTURE
After:  DATE BOOKS

4)
OXFORD UNIVERSITY
After: FRUIT FLIES