In the style of a Fermi problem 'never' can be defined by comparing something's half-life to the life of the universe. Examples (somebody check my math: in the spirit of a Fermi problem I rounded a lot):
If a protein of 100 amino acid residues had to assume every possible conformation at the theoretically fastest rate (the period of a molecular vibration is about 10^-13 seconds) then it would take 10^85 seconds or 10^77 years to have a 50% chance of finding it's native, biologically active conformation. (paraphrased from Lehninger's Principles of Biochemistry, 3rd Ed.)
How long would a 1000 monkeys have to type to have a 50% chance of punching out Hamlet? There are about 167,000 characters in unique sequence, 96 characters on the keyboard, and a good typist can type 100 words a minute, or about 8 characters per second. The monkeys will be there (96^167)/8 or about 10^320 seconds.