For a new sample of 8 weak-line-quasars (WLQs) we report a sensitive search in 20 intranight monitoring sessions, for blazar-like optical flux variations on hour-like and longer time scale (day/month/year-like). The sample consists exclusively of the WLQs that are not radio-loud and have either been classified as 'radio-weak probable BL Lac candidates' and/or are known to have exhibited at least one episode of large, blazarlike optical variability. Whereas only a hint of intra-night variability is seen for two of these WLQs, J104833.5+620305.0(z = 0.219) and J133219.6+622715.9 (z = 3.15), statistically significant inter-night variability at a few per cent level is detected for three of the sources, including the radio-intermediate WLQ J133219.6+622715.9 (z = 3.15) and the well known bona-fide radio-quiet WLQs J121221.5+534128.0 (z = 3.10) and WLQ J153259.9−003944.1 (z = 4.62). In the rest-frame, this variability is intra-day and in the far-UV band. On the time scale of a decade, we find for three of the WLQs large brightness changes, amounting to 1.655±0.009, 0.163±0.010 and 0.144±0.018 mag, for J104833.5+620305.0, J123743.1+630144.9 and J232428.4+144324.4, respectively. Whereas the latter two are confirmed radio-quiet WLQs, the extragalactic nature of J104833.5+620305.0 remains to be well established, thanks to the absence of any feature(s) in its available optical spectra. The present study forms a part of our ongoing campaign of intranight optical monitoring of radio quiet weak-line quasars, in order to improve the understanding of this enigmatic class of Active Galactic Nuclei and to look among them for a possible tiny, elusive population of radio-quiet BL Lacs.