At the moment, I don't have a bass playing style. Recent evidence suggests that if I keep practicing everyday, perhaps I might have one in another year or two, or three, or some other significant period of time.
I really enjoyed Dave's post here.

My bluegrass and oldtyme roots were drum-less, but I've been lucky enough to play with a couple really good drummers along the way. My favorite (if I had to pick one) is a horn player who has double duty in our Christmas Band as a percussionist. He and I are always staged right next to each other, and man, that really helps me... the rest of the band is so far apart that it can be disorienting until the monitors get right.
In this day and time, the cajon is slowly becoming accepted into some traditional music circles too. One of our sidebar groups uses one, and the gal that plays it is like a sister to me. She's also a really good bass player, so we have a very similar sense of timing and where the downbeat is. The lock-in is just as strong as with having a good drummer, from my perspective at least. The other guys in the band often wonder what we're grinning about back there, but the truth is, we're just having so much fun that it's hard not to.
Note proximity of the bass player to the 'drummer' in this jam scenario: (yeah, that's us)

*If there was a parenthetical point to my rambling post here, it's that playing with good drummers has helped me to better understand what my 'style' is.