Here is another drill that is perhaps not as useful in the development of kinesthetic sense but is a variation of how to start matwork. The players sit up three times on my count and on the third sit-up they both start attacking.
What both of these drills try to do is instill the habit of attacking suddenly. Almost always, one person will be a little quicker out of the metaphorical starting block than the other. You want that quicker person to be you.