overhug means to hug excessively or too much.
Etymology
From over- + hug.
verb
- To hug excessively or too much.“There’ll be little campaigning on the hustings this season. For a politician who cherishes the connect, social distancing could be politically fatal; but for Biden, it could be a gift. He’ll have fewer chances to get carried away as he speaks, to overhug, to stick his foot in it (and he’s done quite a bit of that already).”