"bit of sorrow" is a correct and usable phrase in written English.
You could use it to refer to a feeling of sadness, like in the following sentence: I felt a bit of sorrow when I heard the news.
Snaked somewhere between the joy, warmth and fellowship of the tight-knit, mostly African-American and Caribbean-American congregation were some frustration, a bit of anxiety and a tinge of sorrow regarding the current state of things.
You'd die of sorrow, if you didn't already have a bit where you'd gone, 'oh go on then!
In sorrow and a bit of anger, I wrote to Mary, with whom I'd once had lunch, and told her that she could not sell a dress shaped like that and proclaim that it was for everyone.
There is no balance of sorrow no limit but you must have a little bit.
Southcliffe not only featured a character – played by the brilliant Anatol Yusef, who funnily enough is in Preacher – who drowned his very heavy sorrows with a bit of Oasis karaoke, it also featured a grindcore metal band (named Foreboding Ether) who didn't feel inclined to shred along to lyrics that communicated the most horrific plot lines in 6/8 timing.
Certain moments or songs catch me in a place of contemplation and sorrow mixed with a bit of longing and a dash of FOMO.
The path of sorrow upon sorrow.
