I do get notifications on my iPhone, so I'd be surprised if you can't also get them on an Android phone. But there is no setting/preference within the app itself, in iOS there's a Notifications section with the phone's Settings, and in the list there I can select the LRCC app and enable/disable notifications. Hopefully an Android user will be able to give you the exact steps to enable this function on your phone, or at least confirm if notifications should be received.
Are you getting notifications via the Lightroom app or the Creative Cloud app? Because I've checked that as well, under the tab for Lightroom that has a notification icon, but still no such luck.
I get then in two places....via notifications on my mobile phone (and iPads), and because I also use LR Classic I get badges appearing on the collection and the grid thumbnails when a like/comment is made, and I can view them in the Comments section of the right-hand panel.
I think we need an Android user to drop by to confirm (or not) that notifications should be delivered to your phone.