Since it's been tilled in, two and 1/2 weeks is enough time for it to do most of it's action and not burn your plants unless you added an extreme amount and/or the soil has stayed dry most of the time.

Most people can plant in a week with a well managed liming of the correct amount + moist soil to get it's "action" going on.

A common fallacie repeated by many people is that clay soils, or sandy soils if that is what you have, need lime. Maybe, maybe not. Some new england garden "gurus" tell people they need to lime their soils every year and demonstrate that by throwing a couple of handfuls of lime down on a 4 x 8 plot in the spring which is the wrong time of year and probably not enough. The only way to know whether your soil needs lime as well as how much and which, Calcitic or Dolomitic, is with a good reliable soil test.
More than likely you did not put enough lime down to do much more than make your soil look like a sugared donut, although Hydrated Lime can be more problematic than would crushed limestone.
Because of the time it takes for lime to react in the soil the best time to apply lime to soil is in the fall. Also knowing where in the United States you are would also help since as a rule and because of the amount of rainfall soils east of the Mississppi tend to be acidic while those west of the Mississippi tend to be alkaline. For those that may want to dispute this note that I did state the "tend" to be that because there tends to be more rainfall east of the Mississippi and less rainfall west and the more rain you get the quicker the CaCo3 will be washed out of the soil.

If you also tilled in mushroom compost and vermiculite, I think that your garden plot should be good to go. If you are interested in pH testing, I can help you with that. I grow blueberries here in Madison, and I do my own pH testing, every spring. Adding lime to the soil will raise pH.

hmmm, lime application, did you do a pH test to see if you soil needed any lime?

conditioning of clay can occur by simply using gypsum, if lime is needed try dolomite.

we use lots of gypsum with all gardens and plantings, on this new block as there were pine trees growing we add a dash of gypsum, there is some higher acid soil around but not total.

len

Here is a link that might be useful: lens bale garden

A local hardware store might not sell one of the agricultural calcium products, unless they also cater to gardeners and farmers.

Since this is your first garden, you should become acquainted with the people and services at your local county extension office.