An option (probably wouldn't set it as default) to push new crosswatch items automatically (without full page refresh). (I would suggest that new items added on top scroll the screen proportionally so that readers do not lose their place.) Has the potential of turning crosswatch into more of a dashboard.
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Technically it would be no problem to add new items (e.g. every 5 minutes) to the watchlist. I agree that it should not cause inadvertently scrolling, so that's actually the hard part.
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You could place a button in the header which says "12 new entries" and one can click on that to load them. This is how twitter solves that issue and I think it makes some sense to load the data only if the user is interested in it.
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Crosswatch seems unmaintained and inactive (see T269703). You may want to use https://meta.wikimedia.org/wiki/Special:GlobalWatchlist instead.