Here's the rule from the 2008 ASA Rule Book. The bolded emphasis is mine.
3-1-H Safety Grip.
The official bat shall have a safety grip of cork, tape
(no smooth plastic tape) or composition material. The Safety Grip shall not be less than 10.0 inches long, and shall not extend more than 15.0 inches from the small/knob end of the bat. The Safety Grip may be a molded finger-formed grip as long as it is permanently attached to the bat or attached to the bat with safety tape.
Resin, pine tar or spray substances are permissible on the Safety Grip only.
Any tape applied to the Safety Grip must be continuously spiral, but does not have to be a solid layer of tape. The Safety Grip may not exceed two layers of tape. A bat having a “flare” or “cone” grip attached will be considered an Altered Bat.
softballdadcoach wrote:Is there anything in the rules about what 'kind' of tape to use--on my girls older bats from 10u and 12u days, I repaired them with hockey tape? The hockey tape seemed to let some of the 'sticky' through and I often wondered if that might make that kind of tape illegal.
Hockey Tape is okay....even if it is oozing 'sticky' stuff.