rein

1 rein /ˈreɪn/ noun
plural reins
1 rein
/ˈreɪn/
noun
plural reins
Britannica Dictionary definition of REIN
[count]
1 
: a strap that is fastened to a device (called a bridle) placed on the head of an animal (such as a horse) and that is used to guide and control the animal — usually plural — see picture at horse
2 
a  : the ability to limit or control something
b  : the power to guide or control someone or something — usually plural

free/full rein

: the opportunity to act freely
2 rein /ˈreɪn/ verb
reins; reined; reining
2 rein
/ˈreɪn/
verb
reins; reined; reining
Britannica Dictionary definition of REIN

rein in

[phrasal verb]
1 
rein (someone or something) in or rein in (someone or something)
: to limit or control (someone or something)
2 
: to make (an animal) stop by using reins