i was going through this in devotions this morning. What does it mean? Context helps us here:
In Deuteronomy 14 the broad context is what does it mean to take the Lord’s name (be a part of His people) and not do that in vain. Both in Deuteronomy 14 and Exo. 23 the immediate context is on tithing. Giving back to the Lord his due.
The picture also helps. The mother’s milk would be the sustenance provided for the kid as well as for the family. The kid is itself a picture of God’s provision through goat herding.
I think the meaning is that we should not use all of God’s provision for our own purposes because we are God’s people.