Yes, GAVE is a Scrabble word!

verb

1. cause to have, in the abstract sense or physical sense
2. be the cause or source of
3. transfer possession of something concrete or abstract to somebody
4. convey or reveal information
5. convey, as of a compliment, regards, attention, etc.; bestow
6. organize or be responsible for
7. convey or communicate; of a smile, a look, a physical gesture
8. give as a present; make a gift of
9. cause to happen or be responsible for
10. dedicate
11. give or supply
12. transmit (knowledge or skills)
13. bring about
14. leave with; give temporarily
15. emit or utter
16. endure the loss of
17. place into the hands or custody of
18. give entirely to a specific person, activity, or cause
19. give (as medicine)
20. give or convey physically
21. bestow
22. bestow, especially officially
23. move in order to make room for someone for something
24. give food to
25. contribute to some cause
26. break down, literally or metaphorically
27. estimate the duration or outcome of something
28. execute and deliver
29. deliver in exchange or recompense
30. afford access to
31. present to view
32. perform for an audience
33. be flexible under stress of physical force
34. propose
35. accord by verdict
36. manifest or show
37. offer in good faith
38. submit for consideration, judgment, or use
39. guide or direct, as by behavior of persuasion
40. allow to have or take
41. inflict as a punishment
42. occur
43. consent to engage in sexual intercourse with a man
44. proffer (a body part)