I can symapthise Iberru. Darcy was very very much like that - either I had to entertain her or she was the velcro child.
I ended up with toys or things she could play with in everyroom of the house so I could at least do things while she was sitting next to me. I found that sneaking away while she was occupied made her distress worse, and I'd rather have her trust me than think I'm going to sneak off everytime her back is turned. That age is ripe for separation anxiety too. When she could understand me I started giving her little jobs to do - hand mummy the pegs, she had her own duster etc. Eventually while she was doing that she started to find things of her own to amuse herself.
I always tell Darcy if I'm going somewhere, like "Mummy's just going to get a drink, I'll be back in a minute OK?" It might seem silly at that age, but it becomes routine and she know's I'll keep my word. She also answers now and says OK. If she does say Nooooo I know she is upset about something and I delay until she's ok - that happens so rarely.
It does get easier