"suggested watching" is correct and usable in written English.
You can use it to suggest a type of activity, such as watching a movie or a video. For example, "We thought it might be fun to spend the evening with a suggested watching of The Godfather."
Ken Goldstein, the chief economist at the Conference Board, suggested watching apartment rents -- and bars -- on the Upper West Side.
As the night wore on, she suggested watching the rest of the returns back at her place.
One was kind enough to come over and show me what he called "the grip" and suggested watching the ball instead of shutting my eyes during the swing.
They also suggested watching a movie or turning up some music to avoid hearing the revelry.
The next time we were together she again suggested watching one of her videos and I responded, "Yeah, I actually got kind of curious and I found a clip of your stuff on my own".
She suggested watching it might be like taking a new paramour to a familiar and great restaurant, and that it resonated for young people because it simultaneously allowed the usual "which character are you?" level of fun even as its spectacular violence permitted viewers to maintain a healthy distance.
And then, O'Neal suggested, watch out.
Some suggest watching the overall inflation rate.
I would suggest watching either the movie, at a theatre, or the ceremony, on TV.
He also suggests, watching sequences from the film, that he finds them long and wishes, now, that he could make cuts.
On one hand, they assure us that satellites and computers make forecasting more accurate; contrariwise, they warn us that meteorology (the study of the atmosphere, and not, as logic suggests, watching for meteors) is still an inexact science.
