Token timeouts don't exist in ODK Aggregate and there is a feature request Moving to a Modern Authentication Method that discusses the need. Perhaps you can contribute to that discussion?
Also, ODK Aggregate 1.4.7 is about two years old and it's important that you upgrade.
If you are on App Engine, it's important to upgrade as soon as possible because Google changed the login mechanism and deprecated parts of the backend. You risk getting locked out of that server.
If you are on not on App Engine, it's important to upgrade because there have been a number of bug fixes that you are not benefitting from.
See https://github.com/opendatakit/opendatakit/wiki/Aggregate-Release-Notes for the upgrade steps.