My boy was very fussy and clingy too, so I just carried him in a baby sling when he fussed. Then continue with life at home, including going to toilet.
When he got bigger, I carried him on my back with a sturdy carrier and let him watch me wash, cut vegetables, etc.
Of course, I gave him opportunity to play by himself every day. If he starts fussing, then I'd gladly carry him.
It's miserable for him to cry much and I feel irritated hearing too much crying.
Gradually, he became more independent. I believe baby wearing gives baby a sense of security and helps him grow up feeling loved, especially for clingy babies. Someday, they'll grow up.
Read more at 6 Major Benefits of Babywearing | Mummy's Reviews