Is it worth refinancing my house from 4.2 to 3.7 and after only one year?

Is it worth refinancing my house from 4.2 to 3.7 and after only one year?
Added (1). Our current mortgage is 110,000@ 4.2 % Our mortgage lender recently switched to a different company and wanted us to refinance through his new company. If we refinance with him, the loan will be 109,000 @ 3.7%. It has only been one year. It doesn't seem like a big difference and/ or we would actually lose money? Good or bad idea to refinance?

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