Answer:
What kind of cup doesn't hold water?
I have one eye, See near and far, I hold the moments you treasure, And the things that make you weep.
In your fire you hear me scream! Creaking and whining yet I am dead before you lay me in your hearth.
Something you carry while singing.
Handy when you need to measure something or run a kingdom.
I am the fountain from which no one can drink. For many I am considered a necessary link. Like gold to all I am sought for, but my continued death brings wealth for all to want more.