Step 1: Recall side chains of amino acids.
Each amino acid has a characteristic side chain (\(R\)-group) that determines its identity.
Step 2: Identify the given side chain.
The side chain \(-\text{CH}_2\text{OH}\) corresponds to the amino acid serine.
Step 3: Eliminate other options.
Arginine has a guanidino group, tyrosine has a phenolic ring, and proline has a cyclic structure.
Step 4: Conclusion.
Hence, the amino acid is serine.