In The Universal Dream Key (2001), psychologist
Patricia Garfield presents, "the 12 most common
dream themes around the world"

Garfield believes that these twelve dreams are
"universal" in the sense that they have a general
form that varies only slightly from culture to culture
and from era to era

in this sense, Garfield's 12 dreams are analogous
to Jung's archetypes: universal symbols that are
hardwired in our psyche

amongst the twelve is Chase or Attack

here's how Garfield defines it,

"You dream of being pursued or attacked by a wild
animal, evil person, monster, or other threat. The
villain may catch, harm, eat, or kill you."

according to Garfield, this universal dream relates to
the issue of threat -

this threat may reflect: the surfacing of the
repressed memory of a traumatic event; an
awareness of an unacceptable impulse or emotion;
a waking life conflict with another person; or some
concern about one's health or financial security

Garfield's underlying assumption is that if we
can learn to identify the themes and issues that are
reflected in our dreams, we can better understand
and address our waking life concerns