Random Riddle: Remove the First

Example: Begin -> Sour, acidic
Answer: The words are Start and Tart.

1. Locations -> Shoestrings
2. Cause liquid to run -> Belonging to us
3. Communication device -> Sharpen
4. Bought with money -> Assist
5. Gift; now -> Feel indignant about
6. Feeling of self-respect -> Travel on an animal
7. Give satisfaction -> Rent
8. Portion; leave -> Product of creativity