If I understand you correctly your phone is a bit slow to respond when you unlock it with Touch ID. If this is the case I would suggest you quit all the running apps on the phone:
Force an app to close on your iPhone, iPad, or iPod touch
Then restart the phone and test it out again:
Restart your iPhone, iPad, or iPod touch
If this is incorrect can you elaborate on what is happening when you use Touch ID? Take care!