I have copied Srikanth from ENG to confirm my comment. My understanding is for Leap Second adjustment, if you are on 8.5 SP1 Patch 5 (ships with java 1.7 update 79) then nothing needs to happen. For older BSA version (< java 1.7 update 78), you will need to restart the app server.
Srikanth >> Please confirm.
Ok, we're using 8.5 SP1 Patch 5 (latest release for 8.5), so we should be fine then!