This shows the percentage of all papers in dimensions.ai database that mention preregistration or a synonym by year and by social-behavioral science discipline.

Growth over the time period ranges from a low of 152% in education to a high of 7303% in psychology.

Here is a zoom in of the figure scaled to 0-1% to see the growth in the non-psychology fields.
And, here is a breakdown of the percentage of papers mentioning preregistration in sub-disciplines of psychology.