Consider using jQuery UI Masked Picker under the hood

[cubiclesoft]

I've used your time picker in a number of projects. It's already pretty great, but it could be even better by being more flexible. A number of the bigger open issues in this issue tracker could be resolved by relying on a more robust interface.

http://cubiclesoft.com/jquery-ui-maskedpicker/

Using that widget under the hood could resolve or mitigate these open issues:

#58
#33
#37
#32
#31
#27
#47