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The far-infrared fine-structure line [CII] at 1900.5\,GHz is known to be oneof the brightest cooling lines in local galaxies, and therefore it has beensuggested to be an efficient tracer for star-formation in very high-redshiftgalaxies. However, recent results for galaxies at $z>6$ have yielded numerousnon-detections in star-forming galaxies, except for quasars and submillimetergalaxies. We report the results of ALMA observations of two lensed,star-forming galaxies at $z = 6.029$ and $z=6.703$. The galaxy A383-5.1 (starformation rate [SFR] of 3.2 M$_\odot$ yr$^{-1}$ and magnification of $\mu =11.4\pm1.9$) shows a line detection with $L_{\rm [CII]} = 8.9\times10^{6}$L$_\odot$, making it the lowest $L_{\rm [CII]}$ detection at $z>6$. ForMS0451-H (SFR = 0.4 M$_\odot$ yr$^{-1}$ and $\mu = 100\pm20$) we provide anupper limit of $L_{\rm [CII]} < 3\times10^{5}$ L$_\odot$, which is 1\,dex belowthe local SFR-$L_{\rm [CII]}$ relations. The results are consistent withpredictions for low-metallicity galaxies at $z>6$, however, other effects couldalso play a role in terms of decreasing $L_{\rm [CII]}$. The detection ofA383-5.1 is encouraging and suggests that detections are possible, but muchfainter than initially predicted.

[CII] emission in z ~ 6 strongly lensed, star-forming galaxies