Q.All leaves fell off potted lime tree
Will the lime tree produce new leaves in the spring?

Temperature fluctuations can be a cause of leaf drop on citrus.
Ideal temperatures should be around 60 - 65 degrees F.
Also check the plant for insects or disease.
Watering is important for health of you potted plant. Soil should be slightly damp and never allowed to dry out.
If the soil dries, the leaves will fall when you water it.
Here are some links to help you.
https://www.gardeningknowhow.com/edible/fruits/lime/lime-tree-leaf-drop-why-a-lime-tree-is-losing-leaves.htm
https://www.gardeningknowhow.com/edible/fruits/citrus/leaves-falling-off-citrus-tree.htm