Encourage to cry? (5)
I believe the answer is:
cheer
I believe this is a double definition.
'encourage' is the first definition.
(cheering is a kind of encouraging)
'cry?' is the second definition.
(I have seen 'Cry of approval ' mean 'cheer' so perhaps 'cry' could also mean 'cheer')
'to' is the link.
(Other definitions for cheer that I've seen before include "sound of appreciative audience" , "Applaud and acclaim" , "Vocal sound of applause" , "Applaud; mood" , "one in three, perhaps" .)