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The family of MOFs comprised of methylammonum (A= (CH₃)₂NH₂) and metal (B=Co, Cu, Fe, Mn, Ni) cations with a formate (X=HCOO₃) anion has attracted a lot attention recently due to their intriguing multiferroic properties. In the infrared studies under applied magnetic fields, it was concluded that Co complex adopts a different mechanism for facilitating saturation of magnetic states by involving formate stretching distortions unlike other complexes in the family that use the formate bending mode [Inorg. Chem. 57, 11569 (2018).]. Concurrently, we performed Raman spectroscopy on [(CH₃)₂NH₂]Co(HCOO)₃ at magnetic fields up to 31T to probe the magneto-elastic coupling. We find that a weak Raman active vibrational mode at about 798 cm^-1 corresponding to symmetric bending of the formate ion does exhibit magnetic-field-induced frequency shifts. The results of our investigations and its implications will be discussed in detail in the presentation.