しょぼしょぼ

しょ

ぼ

しょ

ぼ

Meanings

adverb taking the 'to' particle, noun or participle which takes 'suru'

drizzling; lightly raining

onomatopoeic or mimetic word

Describes light, persistent rain or drizzle. Often used with 雨が降る or 雨がしょぼしょぼと降る.

adverb taking the 'to' particle, noun or participle which takes 'suru'

blearily; weakly blinking

onomatopoeic or mimetic word

Describes eyes that are half-closed, blinking weakly, or looking bleary, often from sleepiness, fatigue, or bright light.

adverb taking the 'to' particle, noun or participle which takes 'suru'

onomatopoeic or mimetic word

Describes a person's downcast, dispirited appearance or manner. Often used with する or した様子.

不ふ合ごう格かくの知しらせに、彼かれはしょぼしょぼと帰かえっていった。
Upon hearing he failed, he went home dejectedly.

しとしと
しとしと also describes gentle rain but emphasizes a soft, quiet, steady fall, while しょぼしょぼ can imply a more persistent, slightly gloomy drizzle.
しょんぼり
しょんぼり is a mimetic word for looking lonely or dejected, often with a drooping posture. しょぼしょぼ can overlap in the dejected sense but also covers drizzling rain and bleary eyes.

Onomatopoeic/mimetic word; the exact derivation is uncertain, but the reduplicated form is typical of Japanese sound-symbolic adverbs.