хвататься за соломинку
хвататься за соломинку {v. phr.}
- to catch at a straw, to clutch at straws.
To use the last chance while cornered or being in painful situation.
When in extreme danger, difficulty, etc., to try to seize any chance, however small or useless, of getting out of it.
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Source: Using "A book of Russian idioms illustrated" by M. Dubrovin, illustrated by V.Tilman