Feeling better with

気(き)が晴(は)れる means to feel relieved or refreshed after a worry clears up. Literally, one’s 気 (mood) 晴れる (clears).

Dictionary Definition

気持(きも)ちがすっきりする。

To feel relieved.

Goo Dictionary

Further Reading

Examples

Feeling a bit better with 気が晴れる

Manga panel from アオハライド showing example of Feeling a bit better with 気が晴れる.
アオハライド » Volume 5 » Page 168

Futaba had been feeling the weight of uncertainty of her standing with Kou. A general discussion about boys and relationships with her friend Kikuchi clears up her feelings.

双葉(ふたば):
「なんか自分(じぶん)はダメじゃないって言(い)ってもらえた気(き)がして」
“It kind of felt like you were telling me I'm not hopeless.”
「少(すこ)し気(き)が晴(は)れたかも」
“I may be feeling a bit better.”
「ありがとね」
“Thanks.”