How many days google link tool takes to update. Actually, problem is that google link tool has not updated since I start working of my site. I had started working over it 1 month back.
But I have't see any change in my no. of links in google webmaster tool since I have sebmitted my site to it. I have submitted my site 1 month back and main point here is that there is no error is shown by google tool.
Google will update the links shown in webmaster tools at their discretion. I don't know how often they do that (I doubt they've set a schedule yet), but it's certainly not going to be daily or anything like that. I think the service is great even if they update monthly. Don't expect it to update more often then that - google toolbar PR doesn't update that fast even. In other words: don't expect any tool to help you keep track of recent links added. It takes a while on any tool for new links to register.
We can't know yet - the links haven't been reported that long. But I doubt the two are linked, webmaster tools and google toolbar are two different groups in the google family.