It is perfectly fine to use ObjectId() though your syntax for pagination is wrong. You want:
db.tweets.find().limit(50).sort({"_id":-1});
This says you want tweets sorted by _id value in descending order and you want the most recent 50. Your problem is the fact that pagination is tricky when the current result set is changing – so rather than using skip for the next page, you want to make note of the smallest _id in the result set (the 50th most recent _id value and then get the next page with:
db.tweets.find( {_id : { "$lt" : <50th _id> } } ).limit(50).sort({"_id":-1});
This will give you the next “most recent” tweets, without new incoming tweets messing up your pagination back through time.
There is absolutely no need to worry about whether _id value is strictly corresponding to insertion order – it will be 99.999% close enough, and no one actually cares on the sub-second level which tweet came first – you might even notice Twitter frequently displays tweets out of order, it’s just not that critical.
If it is critical, then you would have to use the same technique but with “tweet date” where that date would have to be a timestamp, rather than just a date.