I'm using xtabond2 to run some regressions. My panel dataset
contains 1674
observations with data for each state by year and quarter. Not all
states
have observations for each quarter.
The nature of Arellano-Bond estimation is to create a huge number of
instruments, each of which is a separate variable in Stata terms. Try
constraining the lags allowed for GMM instruments to, say, lags 3
through 5. That should drastically reduce the number of instruments
and make your problem feasible.
A-B is really made for "small T, large N"; you presumably have 50
states and about 33 quarters per state. That is a huge number in
terms of A-B, which often is used for T=7 or 8.