From codesearch, looks like we only use this in two places:
src/net/log/net_log_util.cc
src/net/base/network_quality_estimator_unittest.cc

I can take ownership of this. This doesn't seem hard.

The following revision refers to this bug:
  https://chromium.googlesource.com/chromium/src.git/+/796645a3cfdf37d6f9bde8ba0af644a8950df0cc

commit 796645a3cfdf37d6f9bde8ba0af644a8950df0cc
Author: csharrison <csharrison@chromium.org>
Date: Fri Mar 11 21:04:21 2016

Replace TimeTicks::UnixEpoch with Time::UnixEpoch for the net log
This patch replaces the value of timeTicksOffset for the net log with a value
calculated via:
(Time::Now() - Time::UnixEpoch()) - (TimeTicks::Now() - TimeTicks())

In JS, TimeTicks values calculated via (t - TimeTicks()) are added to the
timeTicksOffset to calculate the wall time that they occurred.

This is equivalent to passing the TimeDelta since the epoch, along with a
reference monotonic time for subsequent TimeTicks values to subtract off.

BUG= 592107 

Review URL: https://codereview.chromium.org/1775663002

Cr-Commit-Position: refs/heads/master@{#380725}

[modify] https://crrev.com/796645a3cfdf37d6f9bde8ba0af644a8950df0cc/net/log/net_log_util.cc

The following revision refers to this bug:
  https://chromium.googlesource.com/chromium/src.git/+/d8c96dde9b4e78d75954aba78e96b38fcbbb5ac6

commit d8c96dde9b4e78d75954aba78e96b38fcbbb5ac6
Author: csharrison <csharrison@chromium.org>
Date: Tue Mar 29 16:08:59 2016

Remove TimeTicks::UnixEpoch from net_unittests

BUG= 592107 

Review URL: https://codereview.chromium.org/1841693003

Cr-Commit-Position: refs/heads/master@{#383735}

[modify] https://crrev.com/d8c96dde9b4e78d75954aba78e96b38fcbbb5ac6/net/base/network_quality_estimator_unittest.cc

Marking as Fixed. There's still some cases of UnixEpoch in net-like areas of the code, but net/ itself is free.