Do you have any extensions installed for Chrome? Have you tried a different browser or a private browsing session without any extensions?
IIRC we see the same/simlar problem on VCSA 6.5 or/and 6.7. After Login you are able to see the rescent tasks and after quite some time the list isnt updated any more and you dont see any other taks/event. User always have administrator right.... IIRC we mostly see in on HTML5 Client rather than WebClient.
No solution yet.. but didnt invest further.
Thanks Martin for your reply
Looks like after resetting the default setting on vsphere web client, it was showed the recent task history (running /completed)
As you said, i'll look on the extension part in chrome and update you by tomorrow.