Here's how I do my sinewing.
Put the first layer on at only 1 - 2mm thick.Appy it evenly everywhere. Allow 1 week to dry.
Put 2nd layer on again only 1 - 2mm thick. Start to form a crown on the back by putting more down the center. Allow 1 week to dry
Then on the last layer I will concetrate on getting a nice crowned back by laying most of this layer down the center. The bow will be ready to tiller 2 - 3 weeks after the last layer. Of course the best thing is to leave it for a few months but sometimes it's hard to wait.....
By keeping the layers thin they only take a short while to dry. The amount of time sinew takes to dry rises exponentially with it's thickness.