  We study the behavior of the Witten-Reshetikhin-Turaev SU(2) invariants of
links in L(p,q) as a function of the level r-2. They are given by 1 over the
square root of r times one of p Laurent polynomials evaluated at e to the 2 pi
i divided by 4pr. The congruence class of r modulo p determines which
polynomial is applicable. If p is zero modulo four, the meridian of L(p,q) is
non-trivial in the skein module but has trivial Witten-Reshetikhin-Turaev SU(2)
invariants. On the other hand, we show that one may recover the element in the
Kauffman bracket skein module of L(p,q) represented by a link from the
collection of the WRT invariants at all levels if p is a prime or twice an odd
prime. By a more delicate argument, this is also shown to be true for p=9.
