1. (咳嗽)痰多的，痰音重的
If you have a chesty cough, you have a lot of mucus in your lungs.

1. having or showing feelings of unwarranted importance out of overbearing pride

e.g. an arrogant official
arrogant claims
chesty as a peacock

Synonym: arrogantself-important

2. marked by a large or well-developed chest

e.g. he was big-chested, big-shouldered and heavy-armed

Synonym: big-chested