Twig

v.
Meaning (from Answers.com):
transitive v.
To observe or notice. To understand or figure out: “The layman has twigged what the strategist twigged almost two decades ago” (Manchester Guardian Weekly).

intransitive v.
To be or become aware of the situation; understand: “As Europe is now twigging, the best breeding ground for innovators who know how to do business is often big, competitive companies” (Economist).

Use: Time Magazine - Bill Gates Goes Back to School