[creeble]

It depends on what you mean by "computer time".

We _do_ use it on some "computers":

> "The Society of Motion Picture and Television Engineers (SMPTE) video/audio industry standards body selected TAI for deriving timestamps of media.[77] IEC/IEEE 60802 (Time sensitive networks) specifies TAI for all operations. Grid automation is planning to switch to TAI for global distribution of events in electrical grids. Bluetooth mesh networking also uses TAI.[78]"

(from https://en.wikipedia.org/wiki/Leap_second#Workarounds_for_le... )