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To znači da se pred mnoštvom ljudi ne snalazi baš najbolje, odnosno ne reagira brzo, u smislu da toj osobi treba vremena da nešto smisli bilo to odgovor ili nešto što će napraviti.

Definicija: "think on one's feet - React quickly, be mentally agile, as in Reporters bombarded him with difficult questions, but Bill was very good at thinking on his feet. This expression uses on one's feet in the sense of "wide awake, alertly."
http://dictionary.reference.com/browse/think on one's f...

"think on one's feet
- to think/reason/plan while one is talking or doing something
I had to think on my feet when the flood waters began to approach my house."
http://www.idiomconnection.com/legfoot.html

"A person who thinks on their feet is capable of making good decisions without previous thinking or planning.
'Good lawyers need to be able to think on their feet when pleading a case.'"
http://www.learn-english-today.com/idioms/idiom-categories/f...

"Synonyms: improvise, make it up as one goes along, think on one's feet"
http://thesaurus.reference.com/browse/think on one's fe...


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Note added at 4 hrs (2009-10-23 13:01:44 GMT)
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U potpunosti uvažavam primjedbu kolege Bojanina te bi na srpskom jeziku moj prijedlog prijevoda trebao naravno biti BRZO REAGOVATI / SNALAZITI SE. Ispričavam se zbog pogreške.