chase

1 chase /ˈtʃeɪs/ noun
plural chases
1 chase
/ˈtʃeɪs/
noun
plural chases
Britannica Dictionary definition of CHASE
1 
[count] : the act of following and trying to catch a person, animal, etc.
2 
[singular] : an eager attempt to get something
— see also wild goose chase
3 
[count] chiefly British : steeplechase

cut to the chase

: to go directly to the important points of a story, argument, etc.

give chase

: to chase someone or something — often + to
2 chase /ˈtʃeɪs/ verb
chases; chased; chasing
2 chase
/ˈtʃeɪs/
verb
chases; chased; chasing
Britannica Dictionary definition of CHASE
1 
: to follow and try to catch (someone or something)
[+ object]
[no object]
— + after
2 
a  : to try very hard to get (someone or something)
[+ object]
[no object]
— + after
b  : to try to attract (someone) for a romantic or sexual relationship
[+ object]
[no object]
— + after
3 
always followed by an adverb or preposition, [+ object] : to cause (someone or something) to go away

chase down

[phrasal verb]
1 
chase (someone or something) down or chase down (someone or something)
: to follow and catch (someone or something)
2 
: to search for and find (someone or something)

chase up

[phrasal verb] British
1 
chase (something) up or chase up (something) : to search for and find (someone or something)
2 
chase (someone) up or chase up (someone) : to contact or find (someone) usually in order to get something