To determine which antibiotic is not bacteriostatic, let's briefly review each option:
Clindamycin: This is a bacteriostatic antibiotic, meaning it inhibits the growth and multiplication of bacteria but does not kill them directly.
Vancomycin: Vancomycin is a bactericidal antibiotic, which means it kills bacteria. Therefore, it is not bacteriostatic.
Tetracycline: Tetracycline is known to be bacteriostatic; it inhibits protein synthesis in bacteria, preventing their growth.
Cephalosporins: This group is primarily bactericidal rather than bacteriostatic because they act by disrupting the synthesis of the bacterial cell wall.
Given these descriptions, the correct answer is Vancomycin, as it is not bacteriostatic but bactericidal.