Center cuts start with a longer word who's center is removed to discover a word formed by what is remaining without anagramming. The first number identifies the long word and the second number identifies the number of letters removed from the center.

All of these clues are for 7 letter words with 3 removed. The letters that are removed do not necessarily form a word.

Example: meat cut -> present, puzzle (11,7) = po rterhou se

-1. conspicuous -> offensive
-2. restoration -> actual
-3. ennui -> upsurge
-4. parcel -> word with home or title
-5. use a lathe -> fur
-6. crow's nest -> brute
-7. rifle -> sugar source
-8. convict -> surrender
-9. innovator -> dock
-10. type of cable -> word with cellar and dust

3. boredom (red)= boom

That's a boomin' good answer!

7. carbine -> cane

Indeed!

4 - package > page

10. coaxial (axi) coal

1. visible/vile (sib)

2. renewal - new = real

6. lookout > lout

9. pioneer (one) pier

8. captive > cave

5. Machine - Mane

Impressive