Have you noticed if it coincides with something else, like changes in your sleep pattern, more work stress, or maybe you're taking other stimulants (tea, energy drinks)?
Everyone above is right that the change is what's concerning. Caffeine does speed up your heart in almost everyone, but the fact that you didn't notice it before and now you do in just two months suggests something has shifted: your cardiovascular health, your sensitivity to caffeine, your anxiety or stress levels. Your body doesn't suddenly become more sensitive to caffeine for no reason. That said, before you give up coffee, the smart thing is to go see your GP and describe exactly what's happening (how long it takes to start, how long it lasts, whether it comes with dizziness or shortness of breath). It's quick and it takes the guesswork out.
In the meantime, a practical trick that nobody's mentioned: try spacing out your intake. Instead of a whole coffee at once, just have half a cup and wait an hour before having more if you need it. That way you give your body time to process the caffeine gradually and most of the time you avoid that spike of palpitations. Some people also notice a difference depending on the type of coffee (decaf on day one of testing doesn't hurt) or whether you have it with some food in your stomach instead of on an empty stomach. But I'm telling you: see your doctor, it's not urgent but it's not something to ignore either.