Having read it, the paper itself is much more balanced than how the biased persons (in any direction) would like to talk about it. It ends with (emphasis mine):

"The main results obtained in the present study were a doubled incidence of all neoplasms with a threefold increase of cancers of the alimentary tract and a sixfold increase of malignancies of the haemopoietic system and lymphatic organs in 20- to 59-year-old career military servicemen exposed occupationally to pulse-modulated 150- to 3500- MHz RF/MW radiation. However, this does not prove a causal link between development of neoplastic diseases and direct interaction of EM fields, since retrospective analysis cannot provide convincing evidence for such links. Nevertheless, the high incidence of certain forms of neoplasms in personnel exposed to pulse-modulated RF/MW radiation clearly shows a need for urgent identification of causal factors present in the occupational environment."

Two other quotes from the paper showing author's awareness of what can and what can't be claimed as proven:

"The highest difference in morbidity rate between RF/MW-exposed and non-exposed personnel was found for malignancies of the haemopoietic system and lymphatic organs (Table 2) with the odds ratio exceeding 6 and the incidence of above 40 new cases per 100000 of exposed subjects annually.

Neoplasms of the haemopoietic system and lymphatic organs are among the malignancies that are to a considerable degree related to multiple environmental and occupational factors, including ionising radiation, organic solvents, some synthetic stains, resins, higher alcohols and numerous other substances [l]. Therefore, many industrial occupations, including e.g. aluminium production, petroleum refining, painting, mining, driving and car servicing, are considered to increase the risk of development of leukaemias and lymphomas. Electric and electronic industry workers have also considerable possibilities for exposure to potential leukaemiogenic factors and substances during their routine or additional duties. This may strongly influence and bias the morbidity rates of haemopoietic and lymphatic malignancies occurring in these populations and their relation to EM fields."

Also some technical details are provided:

"Although assessment of the individual exposure levels (‘dose’) was not possible, it is known from measurement of field power density at working posts that about 80% of the investigated personnel were exposed to RF/MW fields of 0.1-2 W/cm2 and 15% to mean power densities of 2-6 W/m2"

and earlier, showing that the cm2 above is a typo:

"Evaluation of the exposure intensities revealed that at 80-85% of posts, the fields (mostly pulse-modulated RF/MWs at 150-3500 MHz) do not exceed 2 W/m2 (0.2 mW/cm2), while the others have intensities 2-6 W/m2"

It seems that those were the people being exposed to the radar beams during their work hours (or maybe even outside of these). We should for the start compare that amount of exposure to that of humans in the cities due to the cell phones to know which orders of magnitude is the difference.

TL;DR: the correlation is high flux EM (ie radar) exposure being linked with significantly higher rates of [cancer]. The cause may be something environmental also correlated with EM exposure such as industrial solvents (such as those typically used in the manufacture and maintenance of electrical systems like radar) which we already know to be carcinogens.

The post you replied to is already a summary and a much better one than yours.