The phrase "uncontrollable sobbing" is correct and usable in written English
It can be used to describe a state of crying that is intense and cannot be controlled, often due to strong emotions.
Example: "After hearing the devastating news, she fell to the floor, overwhelmed by uncontrollable sobbing."
Alternatives: "unrestrained crying" or "incessant weeping."
I feel numb, the uncontrollable sobbing still days away.
As we left, the encounter reduced me to uncontrollable sobbing.
McConnell was first rushed to Walter Reed after showing symptoms commonly associated with a low white-vote count, including a feeling of hopelessness and uncontrollable sobbing.
Moms and Dads: (Uncontrollable sobbing and crying).
I buried my face in my hands and played it off as uncontrollable sobbing.
Sometimes it's the bride who is the most concerned that ends up being the cool and calm one in the heat of the moment, while her fiancé dissolves into uncontrollable sobbing.
My mother fell into uncontrollable sobs of relief.
Feeling wounded, I phoned home and asked mother if she had heard of "pudding rice", because I certainly hadn't, and she laughed at me before breaking into uncontrollable sobs and saying "I have no son" over and over.
Viewing it for the first time, it grabbed me by the throat so viscerally that it took all my might to hold back what threatened to be a wave of uncontrollable sobs, leaving me awash in sweet sadness – and, like all those around me, silently mopping copious tears from the corners of my eyes.
Having just grabbed myself an extra-long weekend, I took one look at the viewing schedule last week, added together the five hours of Criminal Justice plus two and a half hours of In Treatment and worked out that watching both high-class dramas would mean that I not only probably wouldn't get any sleep but that I'd still miss the annual uncontrollable sob in front of the Pride of Britain Awards.
For some it took the form of uncontrollable sobs.
