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At we have a waves section in profile page.

I don't think it's necessary though since we get it as a new comment and we can continue the conversation there

If you quickly need to look at all waves threads, it is a good UX in terms of website UI.

Am using the mobile app at the moment so I can't phantom how the web looks like

There are some features that you can only use on desktop version. But, Ecency points can only be used on App I guess.

Will try it out on web to see the new features, loving the mobile app version though