There has been quite a lot of interest in Ocean Alkalinity Enhancement (OAE) in the last few years.
This is kind of an unfortunate title, as "geoengineering" (while not wrong) has a very negative connotation in non-scientific publications. Presenting OAE as ocean acidification remediation would have been a much nicer way to drive adoption.
As a side note, lime can be very problematic under some conditions (parasitic CaCO3 precipitation can cause a net release of CO2). But ultramafic rock is alkaline and everywhere. It tuns out you need approximately one large mountain dissolved into the ocean to reverse climate change (neutralize ocean acidification and causes the ocean to take up any extra CO2 in the atmosphere). Or you can just remove acidity from the ocean using solar power, and pour it on rocks somewhere.