I have several spots where trees have begun to grow between
a chain link fence and a wooden privacy fence. They are
beginning to be a problem. I have pruned them down but need
to kill them. Any suggestions?

Sue -- It would have been helpful to first identify the species of tree
growing.

As much as I hate the use of chemicals in the garden, I have found they are
sometimes the only solution when dealing with certain types of trees.
What I've done with a few problem trees in the past is to cut them low then
paint their stumps and any other growth with Round Up and/or Garlon. Cut
the trees back in early summer -- that way their root reserves are at their
lowest (helps with suckers). In some cases, such as ailanthus altissima
(tree of heaven) you REALLY need to keep up on it -- it took me THREE
growing seasons to wipe out an ailanthus altissima that took root in one of
my beds

Good luck!