Horses get stuck on blocks one high (the character also looks like its floating above the horse when this happens) and horses will take damage if you get off of them while moving.
Linked issues
Comments 1
MC-148162
Horses
Resolved
Duplicate
0
Martinaro Monarrez
(Unassigned)
Unconfirmed
Minecraft 1.14 Pre-Release 2
Retrieved
Duplicates https://bugs.mojang.com/browse/MC-148161