Each clue can be answered by a word that is also the name of an animal:

1. Mimics

2. Carries, as a burden

3. Pope's written statements

4. Symbols of state or office

5. Certain baseball equipment

6. Nag, annoy, pester

7. Hide away, as money

8. Follow closely, harass

9. Gobble down food

Answers:

1. Apes

2. Bears

3. Bulls

4. Seals

5. Bats

6. Badger

7. Squirrel

8. Dog

9. Wolf