Highest energy neutrino events (contained) in cubic km ICECUBE detector resulted in last three years to be as many as 37−2=35 signals (two of those having been recently discharged); these tens-hundred TeV (32 energetic events) up to rarest (only 3) PeV cascade showers, proved to have an extraterrestrial origin. Their flux exceeded, indeed, the expected atmospheric noise and clearly favored and tested the birth of a long waited ν astronomy. The UHE neutrino flavor transition from a νμ atmospheric dominance (over νe showers at TeV energy), toward a higher energy shower cascade (νe,ντ) events at few tens TeV up to PeV energy is a hint of such a fast extraterrestrial injection. The majority (28 out of 35) of all these events are spherical cascade showers and their exact timing in shower shining provided an approximate ν arrival direction, within about ±10°. However, their consequent smeared map is inconclusive: both because of such a wide angle spread signal of ±10° and because of their paucity, is not yet allowable to define any meaningful source correlation or anisotropy. The additional rarest 9−2=7 muon tracks, while being sharp in arrival directions, did not offer any correlated clustering nor any overlapping within known sources. Larger sample of UHE ν signals and their most accurate directionality is needed. We recently suggested that the highest energy (tens-TeV) crossing muon along the ICECUBE, mostly at horizons or upcoming, are the ideal tool able to reveal soon such clustering or even any narrow angle pointing to known (IR, X, Radio or γ) sources or self-correlation in rare doublet or triplet: a last hope for a meaningful and short-time ν Astronomy. Any crossing muons clustering along galactic sources or within UHECR arrivals might also probe rarest (possibly galactic, radioactive and in decay in flight) UHECR event made by nuclei or neutrons. Within three years of ICECUBE data all the non-contained crossing highest energy muons above few tens TeV may be several dozens, possibly around 54, mostly enhanced along horizontal edges, painting known sources and/or self-correlating in doublets or rarest triplet, offering a first solution of the UHE neutrino source puzzle (if steady or transient nearby source are at sight). Recent preliminary ICECUBE presentation on crossing muons are consistent with our preliminary muon rate estimate.