  Measurements of time-delay cosmography of lensed quasars can provide an
independent probe to explore the expansion history of the late-time Universe.
In this paper, we employ the time-delay cosmography measurements from seven
lenses (here abbreviated as the TD data) to constrain interacting dark energy
(IDE) models. We mainly focus on the scenario of vacuum energy (with $w=-1$)
interacting with cold dark matter, and consider four typical cases of the
interaction form $Q$. When the TD data alone are employed, we find that the IDE
models with $Q\propto \rho_{\rm de}$ seem to have an advantage in relieving the
$H_{0}$ tension between the cosmic microwave background (CMB) and TD data. When
the TD data are added to the CMB$+$BAO$+$SN$+H_0$ data, we find that: (i) the
coupling parameter $\beta$ in all the considered IDE models is positive within
1$\sigma$ range, implying a mild preference for the case of cold dark matter
decaying into dark energy; (ii) the IDE model with $Q = \beta H_{0} \rho_{\rm
c}$ slightly relieves the $S_8$ tension, but the other considered IDE models
further aggravate this tension; (iii) the Akaike information criteria of the
IDE models with $Q \propto \rho_{\rm c}$ are lower than that of the
$\Lambda$CDM model, indicating that these IDE models are more preferred by the
current mainstream data. We conclude that the considered IDE models have their
own different advantages when the TD data are employed, and none of them can
achieve good scores in all aspects.
